How do you solve $- 6 x + 2 y = - 44$ $-6x + 2y = -44$ and $- 10 x + 2 y = - 60$ $-10x + 2y = -60$ ?

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Answer 1 · 2018-04-15T17:55:07

$x = 4$ $x=4$
$y = - 10$ $y=-10$

$- 6 x + 2 y = - 44$ $-6x+2y=-44$
$- 10 x + 2 y = - 60$ $-10x+2y=-60$

We multiply the first one by (-1) and add it to the second one, so we can use the elimination method.

$6 x - 2 y = 44$ $6x-2y=44$
$-10xcolor(red)cancel(color(black)(+2y))+6xcolor(red)cancel(color(black)(-2y))=-60+44$

$6x-2y=44$
$-4x=-16$

$6x-2y=44$
$x=4$

$6*4-2y=44$
$x=4$

$24-2y=44$
$x=4$

$-2y=44-24$
$x=4$

$-2y=20$
$x=4$

$y=-10$
$x=4$

How do you solve -6x + 2y = -44−6x+2y=−44-6x + 2y = -44 and -10x + 2y = -60 −10x+2y=−60-10x + 2y = -60 ?